On Sub-Riemannian and Riemannian Structures on the Heisenberg Groups

Author:

Biggs Rory,Nagy Péter T.

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Reference63 articles.

1. Agrachev A, Barilari D. Sub-Riemannian structures on 3D Lie groups. J Dyn Control Syst 2012;18(1):21–44. doi: 10.1007/s10883-012-9133-8 .

2. Agrachev A, Barilari D, Boscain U. Introduction to Riemannian and sub-Riemannian geometry. http://webusers.imj-prg.fr/~davide.barilari/Notes.php . Preprint SISSA 09/2012/M.

3. Agrachev A, Barilari D, Boscain U. On the Hausdorff volume in sub-Riemannian geometry. Calc Var Partial Differential Equations 2012;43(3-4):355–88. doi: 10.1007/s00526-011-0414-y .

4. Agrachev AA. Exponential mappings for contact sub-Riemannian structures. J Dynam Control Systems 1996;2(3):321–58. doi: 10.1007/BF02269423 .

5. Agrachev AA, Gamkrelidze RV. Feedback-invariant optimal control theory and differential geometry. I. Regular extremals. J Dyn Control Syst 1997;3(3):343–89. doi: 10.1007/BF02463256 .

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